基于微扰法的二维fBm分形粗糙面电磁波透射问题研究

Investigation on Electromagnetic Wave Transmission from 2-D fBm Fractal Rough Surface Based on the Small Perturbation Method

采用二维fBm分形函数来模拟二维实际粗糙面,根据微扰法研究了该分形粗糙面下方介质2中的电磁散射,给出了透射波的散射系数,数值计算讨论了分维、介质介电常数、粗糙面参数和入射波频率对透射系数的影响,得出了二维fBm分形粗糙面透射系数的分形特征、基本特征、分区特征和随频率变化的特征并对有关结果进行了详细分析。

A 2-D fractional Brown motion（fBm） fractal model is presented for describing the nature rough surface,the electromagnetic scattering in medium 2 under the rough surface is studied and the transmission coefficient is given according to the small perturbation method,the influence of fractal dimension D,the dielectric constants,rough surface parameters and the frequency of the incident wave on the transmission coefficient is discussed by numerical calculating,the fractal characteristics,the basic characteristics,the zonal characteristics and the characteristics with varying of frequency of the transmission coefficient from 2-D fBm fractal rough surface is obtained and some significant results are analyzed in detail.